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A field K is said to be algebraically closed if every polynomial with coefficients in K has a root in K.

An analytic function f(z) satisfying the irreducible algebraic equation A_0(z)f^k+A_1(z)f^(k-1)+...+A_k(z)=0 with single-valued meromorphic functions A_j(z) in a complex ...

A transformation in which the coordinate system is changed, leaving vectors in the original coordinate system "fixed" while changing their representation in the new ...

A transformation in which vectors are transformed in a fixed coordinate system. In contrast, a transformation in which the coordinate system is changed, leaving vectors in ...

A technical mathematical object which bears the same resemblance to binary relations as categories do to functions and sets.

Mathematical growth in which one population grows at a rate proportional to the power of another population.

An almost alternating link with a single component.

A property of X is said to hold almost everywhere if the set of points in X where this property fails is contained in a set that has measure zero.

A weakened version of pointwise convergence hypothesis which states that, for X a measure space, f_n(x)->f(x) for all x in Y, where Y is a measurable subset of X such that ...

In probability, an event with Lebesgue measure 1.